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A054566 Prime number spiral (clockwise, South spoke). 9

%I #24 Feb 20 2022 06:45:00

%S 2,13,67,173,347,577,877,1249,1697,2243,2833,3541,4289,5179,6131,7159,

%T 8293,9473,10799,12251,13709,15289,16987,18749,20681,22619,24671,

%U 26839,29129,31541,33911,36559,39217,41981,44839,47903,50989,54163,57347

%N Prime number spiral (clockwise, South spoke).

%C 8-spoke wheel overlays prime number spiral; hub is 2 in shell 0; 8 spokes radiate from this hub; this is South, clockwise.

%H Ivan Panchenko, <a href="/A054566/b054566.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = A000040(A054567(n+1)). - _Omar E. Pol_, Feb 20 2022

%e Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, South.

%e From _Omar E. Pol_, Feb 19 2022: (Start)

%e The spiral with four terms in every spoke looks like this:

%e .

%e 227 101--103--107--109--113--127

%e | | |

%e 223 97 29---31---37---41 131

%e | | | | |

%e 211 89 23 3----5 43 137

%e | | | | | | |

%e 199 83 19 2 7 47 139

%e | | | | | |

%e 197 79 17---13---11 53 149

%e | | | |

%e 193 73---71---67---61---59 151

%e | |

%e 191--181--179--173--167--163--157

%e .

%e (End)

%t Table[ Prime[4n^2 - 7n + 4], {n, 1, 40} ]

%Y Cf. A000040, A054567, A054551, A054553, A054555, A054564, A054568, A054570, A053999.

%K easy,nonn

%O 0,1

%A _Enoch Haga_ and _G. L. Honaker, Jr._, Apr 10 2000

%E Edited by _Robert G. Wilson v_, Feb 25 2002

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Last modified April 19 07:38 EDT 2024. Contains 371782 sequences. (Running on oeis4.)